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Complex Structures in Real Algebras. I. Two-Dimensional Commutative Case |
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| Abstract: | Abstract We study complex structures in real two-dimensional commutative algebras and show their connection with homotopy properties of the multiplications. An application to the Riccati equation in rank three algebras is also discussed. |
| Keywords: | Non-associative algebras Polynomial equations in algebra Complex structures Quadratic maps |